The "mystical" elements are quite important, for true mastery of mind, body, and environment.
Understandably, they are easy to downplay, because developing oneself spiritually, conflicts with putting oneself on public display - thus the martial artists (or "fighters") that you see in movies and documentaries, tend towards the practical, rather than the intangible.
I won't claim any exclusivity for any particular methods, but I was under the impression that it was common knowledge that honing the mind and the spirit is rather important to self-perfection. You don't have to be a good person to be spiritual, and you don't have to be spiritual to be dangerous. In fact, the more dangerous "fighters" are those who have developed the weapon, without developing the warrior.
I'm sure this post is going to open a hell of a can of worms (judging by the few posts just before it!), so have fun.
